 6.6.6.1.1.401: In Exercises 1 and 2, write the roots of the equation in form.x 2 +...
 6.6.6.1.1.402: In Exercises 1 and 2, write the roots of the equation in form.51x 2...
 6.6.6.1.1.403: In Exercises 3 and 4, write the complex number in standard form a +...
 6.6.6.1.1.404: In Exercises 3 and 4, write the complex number in standard form a +...
 6.6.6.1.1.405: In Exercises 58, find an angle that satisfies both equations.sin u ...
 6.6.6.1.1.406: In Exercises 58, find an angle that satisfies both equations.sin u ...
 6.6.6.1.1.407: In Exercises 58, find an angle that satisfies both equations.sin u ...
 6.6.6.1.1.408: In Exercises 58, find an angle that satisfies both equations.sin u ...
 6.6.6.1.1.409: In Exercises 9 and 10, find all real solutions.x 3  1 = 0
 6.6.6.1.1.410: In Exercises 9 and 10, find all real solutions.x 4  1 = 0
 6.6.6.1.1.411: In Exercises 1 and 2, plot all four points in the same complex plan...
 6.6.6.1.1.412: In Exercises 1 and 2, plot all four points in the same complex plan...
 6.6.6.1.1.413: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.414: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.415: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.416: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.417: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.418: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.419: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.420: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.421: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.422: In Exercises 312, find the trigonometric form of the complex number...
 6.6.6.1.1.423: In Exercises 1318, write the complex number in standard form .31cos...
 6.6.6.1.1.424: In Exercises 1318, write the complex number in standard form .81cos...
 6.6.6.1.1.425: In Exercises 1318, write the complex number in standard form .53cos...
 6.6.6.1.1.426: In Exercises 1318, write the complex number in standard form .5acos...
 6.6.6.1.1.427: In Exercises 1318, write the complex number in standard form .12 ac...
 6.6.6.1.1.428: In Exercises 1318, write the complex number in standard form .17 ac...
 6.6.6.1.1.429: In Exercises 1922, find the product of z1 and z2. Leave the answer ...
 6.6.6.1.1.430: In Exercises 1922, find the product of z1 and z2. Leave the answer ...
 6.6.6.1.1.431: In Exercises 1922, find the product of z1 and z2. Leave the answer ...
 6.6.6.1.1.432: In Exercises 1922, find the product of z1 and z2. Leave the answer ...
 6.6.6.1.1.433: In Exercises 2326, find the trigonometric form of the quotient.21co...
 6.6.6.1.1.434: In Exercises 2326, find the trigonometric form of the quotient.51co...
 6.6.6.1.1.435: In Exercises 2326, find the trigonometric form of the quotient.61co...
 6.6.6.1.1.436: In Exercises 2326, find the trigonometric form of the quotient.cos ...
 6.6.6.1.1.437: In Exercises 2730, find the product and quotient in two ways, (a) u...
 6.6.6.1.1.438: In Exercises 2730, find the product and quotient in two ways, (a) u...
 6.6.6.1.1.439: In Exercises 2730, find the product and quotient in two ways, (a) u...
 6.6.6.1.1.440: In Exercises 2730, find the product and quotient in two ways, (a) u...
 6.6.6.1.1.441: In Exercises 3138, use De Moivres Theorem to find the indicated pow...
 6.6.6.1.1.442: In Exercises 3138, use De Moivres Theorem to find the indicated pow...
 6.6.6.1.1.443: In Exercises 3138, use De Moivres Theorem to find the indicated pow...
 6.6.6.1.1.444: In Exercises 3138, use De Moivres Theorem to find the indicated pow...
 6.6.6.1.1.445: In Exercises 3138, use De Moivres Theorem to find the indicated pow...
 6.6.6.1.1.446: In Exercises 3138, use De Moivres Theorem to find the indicated pow...
 6.6.6.1.1.447: In Exercises 3138, use De Moivres Theorem to find the indicated pow...
 6.6.6.1.1.448: In Exercises 3138, use De Moivres Theorem to find the indicated pow...
 6.6.6.1.1.449: Use an algebraic method in Exercises 3944 to find the cube roots of...
 6.6.6.1.1.450: Use an algebraic method in Exercises 3944 to find the cube roots of...
 6.6.6.1.1.451: Use an algebraic method in Exercises 3944 to find the cube roots of...
 6.6.6.1.1.452: Use an algebraic method in Exercises 3944 to find the cube roots of...
 6.6.6.1.1.453: Use an algebraic method in Exercises 3944 to find the cube roots of...
 6.6.6.1.1.454: Use an algebraic method in Exercises 3944 to find the cube roots of...
 6.6.6.1.1.455: In Exercises 4550, find the fifth roots of the complex number.cos p...
 6.6.6.1.1.456: In Exercises 4550, find the fifth roots of the complex number.32aco...
 6.6.6.1.1.457: In Exercises 4550, find the fifth roots of the complex number.2acos...
 6.6.6.1.1.458: In Exercises 4550, find the fifth roots of the complex number.2acos...
 6.6.6.1.1.459: In Exercises 4550, find the fifth roots of the complex number.2i
 6.6.6.1.1.460: In Exercises 4550, find the fifth roots of the complex number.1 + 13 i
 6.6.6.1.1.461: In Exercises 5156, find the nth roots of the complex number for the...
 6.6.6.1.1.462: In Exercises 5156, find the nth roots of the complex number for the...
 6.6.6.1.1.463: In Exercises 5156, find the nth roots of the complex number for the...
 6.6.6.1.1.464: In Exercises 5156, find the nth roots of the complex number for the...
 6.6.6.1.1.465: In Exercises 5156, find the nth roots of the complex number for the...
 6.6.6.1.1.466: In Exercises 5156, find the nth roots of the complex number for the...
 6.6.6.1.1.467: Cube roots of unity
 6.6.6.1.1.468: Fourth roots of unity
 6.6.6.1.1.469: Sixth roots of unity
 6.6.6.1.1.470: Square roots of unity
 6.6.6.1.1.471: Determine z and the three cube roots of z if one cube root of z is ...
 6.6.6.1.1.472: Determine z and the four fourth roots of z if one fourth root of z ...
 6.6.6.1.1.473: Quotient Formula Let and sin . Verify that
 6.6.6.1.1.474: Group Activity nth Roots Show that the nth roots of the complex num...
 6.6.6.1.1.475: True or False The trigonometric form of a complex number is unique....
 6.6.6.1.1.476: True or False The complex number i is a cube root of i. Justify yo...
 6.6.6.1.1.477: Which of the following is a trigonometric form of the complex numbe...
 6.6.6.1.1.478: Multiple Choice Which of the following is the number of distinct co...
 6.6.6.1.1.479: Multiple Choice Which of the following is the standard form for the...
 6.6.6.1.1.480: Multiple Choice Which of the following is not a fourth root of 1? (...
 6.6.6.1.1.481: Complex Conjugates The complex conjugate of is . Let . (a) Prove th...
 6.6.6.1.1.482: Modulus of Complex Numbers Let . (a) Prove that (b) Use the trigono...
 6.6.6.1.1.483: Using Polar Form on a Graphing Calculator The complex number can be...
 6.6.6.1.1.484: Visualizing Roots of Unity Set your graphing calculator in parametr...
 6.6.6.1.1.485: Parametric Graphing Write parametric equations that represent for D...
 6.6.6.1.1.486: Parametric Graphing Write parametric equations that represent . Dra...
 6.6.6.1.1.487: Explain why the triangles formed by 0, 1, and z1, and by 0, z2, and...
 6.6.6.1.1.488: Compass and Straightedge Construction Using only a compass and stra...
 6.6.6.1.1.489: In Exercises 7984, find all solutions of the equation (real and com...
 6.6.6.1.1.490: In Exercises 7984, find all solutions of the equation (real and com...
 6.6.6.1.1.491: In Exercises 7984, find all solutions of the equation (real and com...
 6.6.6.1.1.492: In Exercises 7984, find all solutions of the equation (real and com...
 6.6.6.1.1.493: In Exercises 7984, find all solutions of the equation (real and com...
 6.6.6.1.1.494: In Exercises 7984, find all solutions of the equation (real and com...
Solutions for Chapter 6.6: Applications of Trigonometry
Full solutions for Precalculus: Graphical, Numerical, Algebraic  8th Edition
ISBN: 9780321656933
Solutions for Chapter 6.6: Applications of Trigonometry
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6.6: Applications of Trigonometry includes 94 full stepbystep solutions. Since 94 problems in chapter 6.6: Applications of Trigonometry have been answered, more than 43255 students have viewed full stepbystep solutions from this chapter.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Arrow
The notation PQ denoting the directed line segment with initial point P and terminal point Q.

Complements or complementary angles
Two angles of positive measure whose sum is 90°

Composition of functions
(f ? g) (x) = f (g(x))

Constant term
See Polynomial function

Cosecant
The function y = csc x

Directed distance
See Polar coordinates.

Division
a b = aa 1 b b, b Z 0

Frequency (in statistics)
The number of individuals or observations with a certain characteristic.

Linear system
A system of linear equations

Negative angle
Angle generated by clockwise rotation.

Normal curve
The graph of ƒ(x) = ex2/2

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

nth root
See Principal nth root

Odd function
A function whose graph is symmetric about the origin (ƒ(x) = ƒ(x) for all x in the domain of f).

Second
Angle measure equal to 1/60 of a minute.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Statistic
A number that measures a quantitative variable for a sample from a population.

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.